3909960 has 48 divisors (see below), whose sum is σ = 12708540. Its totient is φ = 1042560.

The previous prime is 3909959. The next prime is 3909967. The reversal of 3909960 is 699093.

3909960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3849444 + 60516 = 1962^2 + 246^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3909967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5071 + ... + 5790.

Almost surely, 2^3909960 is an apocalyptic number.

3909960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3909960 is an abundant number, since it is smaller than the sum of its proper divisors (8798580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3909960 is a wasteful number, since it uses less digits than its factorization.

3909960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10878 (or 10871 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 3909960 is about 1977.3618788679. The cubic root of 3909960 is about 157.5399747361.

The spelling of 3909960 in words is "three million, nine hundred nine thousand, nine hundred sixty".